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Finding the Fourth Proportional to 178,275.56, 267,233.13 and 111,762.32

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Solution

The fourth proportional to 178,275.56, 267,233.13 and 111,762.32 is: 167,530.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,275.56 : 267,233.13 = 111,762.32 : x
  2. Step 2: Convert to fraction form
    178,275.56/267,233.13 = 111,762.32/x
  3. Step 3: Cross multiply
    178,275.56x = 267,233.13 × 111,762.32
  4. Step 4: Simplify right side
    178,275.56x = 29,866,594,589.66
  5. Step 5: Solve for x
    x = 29,866,594,589.66/178,275.56
  6. Step 6: Final answer
    x = 167,530.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.